Inequalities. Inequality - a mathematical sentence that contains, or not equal.  reads as greater than  reads as less than < reads as less than or equal.

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Presentation transcript:

Inequalities

Inequality - a mathematical sentence that contains, or not equal.  reads as greater than  reads as less than < reads as less than or equal to > reads as greater than or equal to ≠ not equal to Inequalities and their graphs

When graphing inequalities use o Open circle used for Shaded circle used for >, <

Inequalities and their graphs- answers When graphing inequalities use o Open circle used for Shaded circle used for >, <

Inequalities and their graphs

Inequalities and their graphs- answers x < -7x > -11 x < 2 x > -3

Inequalities and their graphs

t < 16 h > 7 p < 25 n < 0

Solving One-Step Inequalities Examples: 1.x + 8 > > y m + 3 > < x x 13

Solving One-Step Inequalities - ans Examples: 1.x + 8 > > y + 14 x > 11 y < m + 3 > < x -6 m x 13 y > 0

Solving One-Step Inequalities Examples: 1.x V

Solving One-Step Inequalities - ans Examples: 1.x x V v X - 9 > -11 x > -2

Solving One-Step Inequalities by dividing and multiplying When dividing or multiplying by a negative number you must reverse (flip) the inequality sign

Solving One-Step Inequalities

Solving One Step Inequalities - ans X > -2 x > 4 x < 1 x > -6 x > -4 x < -18 X < -20 x > -2

Solving One-Step Inequalities

Solving One-Step Inequalities - ans -5k -6 1/2 p > -7; p > -14 9k < 18; k < 2 1/3 p > -17; p> -51 -g > -5; g < 5

Solving Two-Step Inequalities Examples: 2y > 1/2 x /2 c < > -1/3 a m + 4 < x > < (-0.5)g - 2.7

Solving Two-Step Inequalities - ans Examples: 2y a>4 -10 > 1/2 x - 6 x < /2 c < 14 c<-6 -9 > -1/3 a + 6 x>45 -2m x > 3 x<3 8.3 < (-0.5)g b<-22